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38 votes
38 votes
K

Find the lateral surface area and volume of the solid
object shown below.
9.5"
9"
11"
11"
The base of the pyramid is an equilateral triangle.
...

K Find the lateral surface area and volume of the solid object shown below. 9.5&quot-example-1
User Reiion
by
2.6k points

1 Answer

16 votes
16 votes

Answer: 209 square inches, 182 cubic inches

Explanation:

The lateral surface area is the sum of the areas each of the four faces.

The area of one face is
(1/2)(11)(9.5). Multiplying this by 4, we get 209 square inches.

To find the volume, we use the formula
V=(1)/(3)Bh. This gives us that the volume is
(1/3)[(1/2)(11)(11)](9), or about 182 cubic inches.

User Raul Gonzalez
by
3.0k points